Question

A student solving a physics problem to find the unknown has applied physics prinoples and obtained the expression Ham go s θ ng sine ma, where g 9.80 meter/second2 a 3.60 meter/second2.0 27.0 and mis not given which of the following represents a simplified expression tor μ? gcos To avoid making mistakes, the expression should not be simplified unti the numerical values are substituted (D tan θ". O The single equation has two unknowns and cannot be solved with the information given

Answer 1

"Given that the expression, (mu_k mg cos theta - mg sin theta - ma) In order to find ""mu_k"" in above expression, we must equate it to ""zero"". rightwardsdoublearrow (mu_k mg cos theta - mg sin theta - ma) = (0) [Because To find any unknown we must equate given expression to zero] rightwardsdoublearrow (mu_k mg cos theta) = (mg sin theta + ma) rightwardsdoublearrow [(mu_k g cos theta)] = [(g sin theta + a)] rightwardsdoublearrow [mu_k (g cos theta)] = (g sin theta + a) Therefore (mu_k) = [g sin theta + a/g cos theta] = [g sin theta/g cos theta + a/g cos theta] [Because (a + g/c) = [a/c + b/c]] = [tan theta + a/g cos theta] rightwardsdoublearrow (mu_k) = [tan theta + a/g cos theta] is simplified-expression for ""mu_k"" bases on given equation. In given options, ""(tan theta + a/g cos theta)"" is not included."